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Short-Term Borrowings and Long-Term Debt - Additional Information (Detail) - USD ($)
 1 Months Ended 12 Months Ended
Jul. 31, 2023
Aug. 31, 2022
Sep. 30, 2024
Sep. 30, 2023
Line Of Credit Facility [Line Items]        
Unamortized debt issuance costs     $ 1,300,000 $ 1,600,000
Long-term debt, net of current maturities     $ 355,906,000 389,231,000
Interest rate on floor plan facility     3.45%  
Long-term debt     $ 391,186,000  
Letter of Credit [Member]        
Line Of Credit Facility [Line Items]        
Letters of credit for insurance carriers and equity investment     $ 14,100,000  
Mortgage Facility [Member]        
Line Of Credit Facility [Line Items]        
Debt instrument interest rate     2.20%  
Long-term debt     $ 391,186,000 424,899,000
Borrowing Base Amount and Aging Inventory [Member]        
Line Of Credit Facility [Line Items]        
Inventory and working capital needs     $ 709,000,000 $ 537,100,000
Interest rate on short-term borrowings     8.70% 8.80%
Revolving Credit Facility [Member] | Minimum [Member]        
Line Of Credit Facility [Line Items]        
Debt instrument interest rate     1.50%  
Revolving Credit Facility [Member] | Maximum [Member]        
Line Of Credit Facility [Line Items]        
Debt instrument interest rate     2.00%  
Term Loan Facility | Minimum [Member]        
Line Of Credit Facility [Line Items]        
Debt instrument interest rate     1.50%  
Term Loan Facility | Maximum [Member]        
Line Of Credit Facility [Line Items]        
Debt instrument interest rate     2.00%  
New Credit Agreement [Member]        
Line Of Credit Facility [Line Items]        
Amount of borrowing availability   $ 750,000,000    
New Credit Agreement [Member] | Delayed Draw Term Loan Facility        
Line Of Credit Facility [Line Items]        
Long term debt maturity   2027-08    
New Credit Agreement [Member] | Delayed Draw Mortgage Loan Facility [Member]        
Line Of Credit Facility [Line Items]        
Long term debt maturity   2027-08    
Long-term debt   $ 100,000,000    
New Credit Agreement [Member] | Maximum [Member] | Delayed Draw Term Loan Facility        
Line Of Credit Facility [Line Items]        
Long-term debt   400,000,000    
New Credit Agreement [Member] | Revolving Credit Facility [Member]        
Line Of Credit Facility [Line Items]        
Amount of borrowing availability   100,000,000    
Swingline facility   20,000,000    
Letter of credit sublimit amount   $ 20,000,000    
Amended Credit Facility [Member]        
Line Of Credit Facility [Line Items]        
Amount of borrowing availability $ 950,000,000      
Leverage ratio     3.35%  
Debt instrument, covenant compliance     The covenants include provisions that our leverage ratio must not exceed 3.35 to 1.0 and that our consolidated fixed charge coverage ratio must be greater than 1.10 to 1.0. As of September 30, 2024, we were in compliance with all covenants under the Amended Credit Agreement. The Amended Credit Agreement is secured by the Company’s personal property assets, including inventory and related accounts receivable. The mortgage loans will also be secured by the real estate pledged as collateral for such loans.  
Additional borrowings     $ 1,500,000  
Credit facility interest rate description     The interest rate is (a) for amounts outstanding under the Floor Plan, 3.45% above the one month secured term rate as administered by the CME Group Benchmark Administration Limited (CBA) (“SOFR”), (b) for amounts outstanding under the revolving credit facility or the term loan facility, a range of 1.50% to 2.0%, depending on the total net leverage ratio, above the one month, three month, or six month term SOFR rate, and (c) for amounts outstanding under the mortgage loan facility, 2.20% above the one month, three month, or six month term SOFR rate. The alternate base rate with a margin is available for amounts outstanding under the revolving credit, term, and mortgage loan facilities and the Euro Interbank Offered Rate plus a margin is available for borrowings in Euro or other currencies other than dollars under the revolving credit facility.  
Amended Credit Facility [Member] | Delayed Draw Term Loan Facility        
Line Of Credit Facility [Line Items]        
Long term debt maturity 2027-08      
Amended Credit Facility [Member] | Delayed Draw Mortgage Loan Facility [Member]        
Line Of Credit Facility [Line Items]        
Amount of borrowing availability     $ 100,000,000  
Long term debt maturity 2027-08      
Long-term debt $ 100,000,000      
Amended Credit Facility [Member] | Maximum [Member]        
Line Of Credit Facility [Line Items]        
Fixed coverage ratio     110  
Amended Credit Facility [Member] | Maximum [Member] | Delayed Draw Term Loan Facility        
Line Of Credit Facility [Line Items]        
Long-term debt 400,000,000      
Amended Credit Facility [Member] | Revolving Credit Facility [Member]        
Line Of Credit Facility [Line Items]        
Amount of borrowing availability 100,000,000   $ 86,000,000  
Swingline facility 20,000,000      
Letter of credit sublimit amount $ 20,000,000